Question

the sides of a rectangle park are in the ratio 4:3. if its area is 1728 meter square, find its perimeter

Answer 1

Answer:

The answer is 168m

Goodnight

Answer 2

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

Sides of a rectangular Park are in ratio 4 : 3.

So,

Let length be 4x and breadth be 3x.

So, It's area will be 1728 m²

We know that,

$\huge{\boxed{\blue{\sf{Area = Length \times Breadth}}}}$

_____________[Put Values]

3x * 4x = 1728

→ 12x² = 1728

→ x² = 1728/12

→ x² = 144

→ x = (√12)²

→ x = 12 m.

So,

It's length = 4x = 4(12) = 48m.

Breadth = 3x = 3(12) = 36m.

$\large{\boxed{\red{\sf{Length = 48 \: m}}}}$

$\large{\boxed{\red{\sf{Breadth = 36 \: m}}}}$

$\rule{200}{2}$

Now, we have to find perimeter

$\huge{\boxed{\blue{\sf{Perimeter = 2(l + b)}}}}$

Here, l is length and b is breadth

___________[Put Values]

Perimeter = 2(48 + 36)

→ Perimeter = 2(84)

→ Perimeter = 168m.

$\large{\boxed{\red{\sf{Perimeter = 168 \: m}}}}$